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Finding the Third Proportional to 665,340 and 1,439,928

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Solution

The third proportional to 665,340 and 1,439,928 is: 3,116,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,340 : 1,439,928 = 1,439,928 : x
  2. Step 2: Convert to fraction form
    665,340/1,439,928 = 1,439,928/x
  3. Step 3: Cross multiply
    665,340x = 1,439,928 × 1,439,928
  4. Step 4: Simplify right side
    665,340x = 2,073,392,645,184
  5. Step 5: Solve for x
    x = 2,073,392,645,184/665,340
  6. Step 6: Final answer
    x = 3,116,290.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.